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2 years ago

Which of the following equations has a graph that passes through (3, 3) and has a slope of −2?

Mathematics

2 answers:

Tatiana [17]2 years ago

7 0

Answer:

y - y1 = m(x - x1)

y - -3 = 3(x - 1)

y + 3 = 3x - 3

y = 3x - 3 - 3

y = 3x - 6

Step-by-step explanation:

Thie equation is in slope-intercept form (y = mx + b)

The y-intercept is -6 .... ((0, -6) is one point on the line.

It is given that (1, -3) is also on the line. So to graph, plot those

2 points and connect them with a line.

Hatshy [7]2 years ago

7 0

Answer:

y = -2x+9

Step-by-step explanation:

We have a point and a slope

y = mx+b where m is the slope and b is the y intercept

y = -2x +b

Substitute the point in

3 = -2(3)+b

3 = -6+b

Add 6

3+6 = -6+6+b

9 = b

y = -2x+9

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Evaluate (f + g)(x) if f(x) = 2x and g(x) = 3X - 2 when x = 3

77julia77 [94]

Answer:

Step-by-step explanation:

→ Substitute 3 into 2x

2 × 3

→ Evaluate

f ( x ) = 6

→ Substitute x = 3 into 3x - 2

3 × 3 - 2

→ Evaluate

→ Find the sum of the 2 results

7 0

1 year ago

Kathy is baking cakes. Each cake requires 1/12 of a teaspoon of vanilla, and she has 9/12 of a teaspoon, how many cakes can she

kati45 [8]

She can bake 9 cakes

3 0

3 years ago

How to solve (2x+8)^2

dusya [7]

You have to foil out the problem
(2x+8)(2x+8)
4x^2+16x+16x+64
4x^2+32x+64

4 0

3 years ago

How many zeros are in the standard form of 10 7 write this number in standard form

vodka [1.7K]

Answer:

There are 7 zeroes in the standard form of 10⁷

The number is: 10,000,000

Explanation:

A power represents how many times this number is multiplied by itself

For example:

x² means we will multiply x by itself 2 times (x * x)

x⁵ means we will multiply x by itself 5 times (x * x * x * x * x)

The standard form of a number means the number written with no powers

Now, the given number is 10⁷

This means that:

The number is 10 multiplied by itself 7 times

10⁷ = 10 × 10 × 10 × 10 × 10 × 10 × 10 = 10000000 .........> standard form

We can observe that it has 7 zeroes

Hope this helps :)

8 0

2 years ago

Graph y = x2 + 2. Identify the vertex of the graph. Tell whether it is a minimum or maximum. (0, 2); maximum (0, 2); minimum (2,

miskamm [114]

Answer:

$(0,2)$ ; minimum

Step-by-step explanation:

Given:

The function is, $y=x^{2}+2$

The given function represent a parabola and can be expressed in vertex form as:

$y=(x-0)^{2}+2$

The vertex form of a parabola is $y=(x-h)^{2}+k$ , where, $(h,k)$ is the vertex.

So, the vertex is $(0,2)$ .

In order to graph the given parabola, we find some points on it.

Let $x=-2,y=(-2)^{2}+2=4+2=6$

$x=-1,y=(-1)^{2}+2=1+2=3$

$x=0,y=(0)^{2}+2=0+2=2$

$x=2,y=(2)^{2}+2=4+2=6$

$x=1,y=(1)^{2}+2=1+2=3$

So, the points are $(-2,6),(-1,3),(0,2),(1,3),(2,6)$ .

Mark these points on the graph and join them using a smooth curve.

The graph is shown below.

From the graph, we conclude that at the vertex $(0,2)$ , it is minimum.

8 0

2 years ago